【摘要】 研究常曲率黎曼流形Nn+p(c)中具有平行中曲率向量的紧致伪脐子流形Mn,得到子流形Mn的内在量K,Q,σ若满足一定关系可使Mn是全脐子流形.推广了徐仙发和纪永强的有关结果.更多还原

【Abstract】 Considered the compact pseudo-umbilical submanifold Mn with parallel mean curvatue vector in the Riemannian manifold Nn+p(c) with constant curvature c,and concluded that if the inherent quantities of Mn,K,Q,σ,satisfied two suitable conditions then Mn must be a totally umbilical submanifold of Nn+p(c).The paper generalized the results which obtained by Xu Xian-fa and Ji Yong-qiang.更多还原